Let f: R→R be integrable in a neighbourhood of x∊R. If there are real numbers α0,α2,…,α2n−2 such that
exists for some δ>0 then the limit is called the 2n-th symmetric Laplace derivative at x. There is a corresponding definition of (2n+1)-th symmetric Laplace derivative. It is shown that this derivative is a generalization of the symmetric d.l.V.P. derivative. Some properties of this derivative are studied.
 Mukhopadhayay, S. N., Ray, S.2010On Laplace derivativeAnalysis Math.36131–153.